Finding the Third Proportional to 41,166 and 88,573.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,166 : 88,573.50 = 88,573.50 : x
2. Step 2: Convert to fraction form
   41,166/88,573.50 = 88,573.50/x
3. Step 3: Cross multiply
   41,166x = 88,573.50 × 88,573.50
4. Step 4: Simplify right side
   41,166x = 7,845,264,902.25
5. Step 5: Solve for x
   x = 7,845,264,902.25/41,166
6. Step 6: Final answer
   x = 190,576.32